2- Composition of Functions

Question 1

What is the notation of composite functions?

Answer 1

(f o g)(x) aka (f(g(x))

g o f)(x) aka (g(f(x)

Question 2

What is an iteration?

Answer 2

Function that feeds back into itself
     Example: Find the first 3 iterates of            f(x) = 3x + 2 if x⭕️= 4 >>>o is original
        f(4) = 14 = x1
        f(14) = 44 = x2
        f(44) = 134 = x3
         .....and so on

Question 3

How would you solve the following?

    - (f+g)(x)
    - (f-g)(x)
    - (f • g)(x)
    - (f / g)(x)

Answer 3

• f(x) + g(x)
  - f(x) - g(x)
  - f(x) • g(x)
  - f(x) / g(x)